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Statement 1 : If the chords of contact o...

Statement 1 : If the chords of contact of tangents from three points `A ,B` and `C` to the circle `x^2+y^2=a^2` are concurrent, then `A ,B` and `C` will be collinear.
Statement 2 : Lines `(a_1x+b_1y+c_1)+k(a_2x+b_2y+c_2)=0` alwasy pass through a fixed point for `k in R`
(a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1
(b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1
(c) Statement 1 is true but Statement 2 is false
(d) Statement 2 is true but Statement 1 is false

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Statement I The chord of contact of tangent from three points A, B and C to the circle x^2+y^2=a^2 are concurrent, then A, B and C will be collinear. Statement II A, B and C always lie on the normal to the circle x^2+y^2=a^2 . (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Statement 1 : The number of circles passing through (1, 2), (4, 8) and (0, 0) is one. Statement 2 : Every triangle has one circumcircle (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Statement 1: The line x-y-5=0 cannot be normal to the parabola (5x-15)^2+(5y+10)^2=(3x-4y+2)^2dot Statement 2: Normal to parabola never passes through its focus. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Statement 1: There are no common tangents between the circle x^2+y^2-4x+3=0 and the parabola y^2=2xdot Statement 2:Given circle and parabola do not intersect. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Statement 1: The normals at the points (4, 4) and (1/4,-1) of the parabola y^2=4x are perpendicular. Statement 2: The tangents to the parabola at the end of a focal chord are perpendicular. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1. (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Statement 1 : Circles x^2+y^2=144 and x^2+y^2-6x-8y=0 do not have any common tangent. Statement 2 : If two circles are concentric, then they do not have common tangents. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1 (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1 (c) Statement 1 is true but Statement 2 is false (d) Statement 2 is true but Statement 1 is false

Statement 1 :The circles x^2+y^2+2p x+r=0 and x^2+y^2+2q y+r=0 touch if 1/(p^2)+1/(q^2)=1/r Statement 2 : Two centers C_1a n dC_2 and radii r_1a n dr_2, respectively, touch each other if |r_1+r_2|=c_1c_2 (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1 (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1 (c) Statement 1 is true but Statement 2 is false (d) Statement 2 is true but Statement 1 is false

Statement 1 : The number of circles touching lines x+y=1,2x-y=5, and 3x+5y-1=0 is four Statement 2 : In any triangle, four circles can be drawn touching all the three sides of the triangle. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1 (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1 (c) Statement 1 is true but Statement 2 is false (d) Statement 2 is true but Statement 1 is false

Statement 1: ""^m C_r+ ""^m C_(r-1)(""^nC_1)+ ""^mC_(r-2)(""^n C_2)+....+ ""^n C_r=0 , if m+n lt r Statement 2: ""^n C_r=0 , if n lt r (a) Statement 1 and Statement 2, both are correct. Statement 2 is the correct explanation for Statement 1. (b) Statement 1 and Statement 2, both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is true but Statement 2 is false. (d) Statement 2 is true but Statement 1 is false.

Statement 1 : If the circle with center P(t ,4-2t),t in R , cut the circles x^2+y^2=16 and x^2+y^2-2x-y-12=0 , then both the intersections are orthogonal. Statement 2 : The length of tangent from P for t in R is the same for both the given circles. (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1 (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1 (c) Statement 1 is true but Statement 2 is false (d) Statement 2 is true but Statement 1 is false

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The centre of a circle passing through the points (0,0),(1,0)and touch...

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  2. Each question has four choices a, b, c and d, out of which only one is...

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  3. Statement 1 : If the chords of contact of tangents from three points...

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  4. Statement 1 : Circles x^2+y^2=144 and x^2+y^2-6x-8y=0 do not have any ...

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  5. The locus of the point from which the lengths of the tangents to the ...

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  15. The centres of a set of circles, each of radius 3 , lie on the circle ...

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